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Finding the Third Proportional to 21.23 and 49.92

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Solution

The third proportional to 21.23 and 49.92 is: 117.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.23 : 49.92 = 49.92 : x
  2. Step 2: Convert to fraction form
    21.23/49.92 = 49.92/x
  3. Step 3: Cross multiply
    21.23x = 49.92 × 49.92
  4. Step 4: Simplify right side
    21.23x = 2,492.19
  5. Step 5: Solve for x
    x = 2,492.19/21.23
  6. Step 6: Final answer
    x = 117.37

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.